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Finding the Fourth Proportional to 54,906, 82,390.14 and 25,323.86

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Solution

The fourth proportional to 54,906, 82,390.14 and 25,323.86 is: 38,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906 : 82,390.14 = 25,323.86 : x
  2. Step 2: Convert to fraction form
    54,906/82,390.14 = 25,323.86/x
  3. Step 3: Cross multiply
    54,906x = 82,390.14 × 25,323.86
  4. Step 4: Simplify right side
    54,906x = 2,086,435,958.79
  5. Step 5: Solve for x
    x = 2,086,435,958.79/54,906
  6. Step 6: Final answer
    x = 38,000.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.